From: SourceForge.net <noreply@so...>  20091029 01:21:05

Bugs item #2888450, was opened at 20091029 11:21 Message generated for change (Tracker Item Submitted) made by ynrobyvr You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2888450&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: None Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: Rudolf Vyborny (ynrobyvr) Assigned to: Nobody/Anonymous (nobody) Summary: wrong result Initial Comment: wrong result in calculating limit of x*floor(1/x) as x goes to 0  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2888450&group_id=4933 
From: SourceForge.net <noreply@so...>  20091029 02:12:55

Bugs item #2888450, was opened at 20091028 21:21 Message generated for change (Comment added) made by rtoy You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2888450&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: None Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: Rudolf Vyborny (ynrobyvr) Assigned to: Nobody/Anonymous (nobody) Summary: wrong result Initial Comment: wrong result in calculating limit of x*floor(1/x) as x goes to 0  >Comment By: Raymond Toy (rtoy) Date: 20091028 22:12 Message: I get the noun form back. Not wrong, but could be better. What were you expecting?  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2888450&group_id=4933 
From: SourceForge.net <noreply@so...>  20091029 03:02:22

Bugs item #2888450, was opened at 20091029 11:21 Message generated for change (Comment added) made by ynrobyvr You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2888450&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: None Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: Rudolf Vyborny (ynrobyvr) Assigned to: Nobody/Anonymous (nobody) Summary: wrong result Initial Comment: wrong result in calculating limit of x*floor(1/x) as x goes to 0  Comment By: Rudolf Vyborny (ynrobyvr) Date: 20091029 13:02 Message: I got the wrong result, namely 0. I attached my file  Comment By: Raymond Toy (rtoy) Date: 20091029 12:12 Message: I get the noun form back. Not wrong, but could be better. What were you expecting?  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2888450&group_id=4933 
From: SourceForge.net <noreply@so...>  20091109 16:59:44

Bugs item #2888450, was opened at 20091029 02:21 Message generated for change (Settings changed) made by crategus You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2888450&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: None Group: None >Status: Pending >Resolution: Works For Me Priority: 5 Private: No Submitted By: Rudolf Vyborny (ynrobyvr) Assigned to: Nobody/Anonymous (nobody) Summary: wrong result Initial Comment: wrong result in calculating limit of x*floor(1/x) as x goes to 0  >Comment By: Dieter Kaiser (crategus) Date: 20091109 17:59 Message: With Maxima 5.19post I get a noun form too. There have been serveal changes the last time to improve limit. Furthermore, I think the limit of the example is not defined. Therefore, it seems to be not wrong to return a noun form. Setting the status to pending and works for me. Dieter Kaiser  Comment By: Rudolf Vyborny (ynrobyvr) Date: 20091029 04:02 Message: I got the wrong result, namely 0. I attached my file  Comment By: Raymond Toy (rtoy) Date: 20091029 03:12 Message: I get the noun form back. Not wrong, but could be better. What were you expecting?  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2888450&group_id=4933 
From: SourceForge.net <noreply@so...>  20091109 17:18:00

Bugs item #2888450, was opened at 20091028 21:21 Message generated for change (Comment added) made by rtoy You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2888450&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: None Group: None Status: Pending Resolution: Works For Me Priority: 5 Private: No Submitted By: Rudolf Vyborny (ynrobyvr) Assigned to: Nobody/Anonymous (nobody) Summary: wrong result Initial Comment: wrong result in calculating limit of x*floor(1/x) as x goes to 0  >Comment By: Raymond Toy (rtoy) Date: 20091109 12:17 Message: Isn't the limit 1? Let any x small enough, 1/x = n + e, where n is an integer and e < 1. Then floor(1/x) = n and x*floor(1/x) is n/(n+e) = 1  e/(n+e). As n gets larger (and x gets smaller), this approaches 1. Did I make a mistake?  Comment By: Dieter Kaiser (crategus) Date: 20091109 11:59 Message: With Maxima 5.19post I get a noun form too. There have been serveal changes the last time to improve limit. Furthermore, I think the limit of the example is not defined. Therefore, it seems to be not wrong to return a noun form. Setting the status to pending and works for me. Dieter Kaiser  Comment By: Rudolf Vyborny (ynrobyvr) Date: 20091028 23:02 Message: I got the wrong result, namely 0. I attached my file  Comment By: Raymond Toy (rtoy) Date: 20091028 22:12 Message: I get the noun form back. Not wrong, but could be better. What were you expecting?  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2888450&group_id=4933 
From: SourceForge.net <noreply@so...>  20091109 21:11:18

Bugs item #2888450, was opened at 20091029 02:21 Message generated for change (Comment added) made by crategus You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2888450&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: None Group: None Status: Pending Resolution: Works For Me Priority: 5 Private: No Submitted By: Rudolf Vyborny (ynrobyvr) Assigned to: Nobody/Anonymous (nobody) Summary: wrong result Initial Comment: wrong result in calculating limit of x*floor(1/x) as x goes to 0  >Comment By: Dieter Kaiser (crategus) Date: 20091109 22:11 Message: Sorry, I have no mathematical proof. I have come to the conclusion because of the follwing: 1. The function floor(x) is discontinuous. 2. The function x*floor(1/x) has an infinite number of points of discontinuity in any infinitesimal intervall when aproching zero. 3. Therefore, the function does not approach a limit. I could be wrong. Dieter Kaiser  Comment By: Raymond Toy (rtoy) Date: 20091109 18:17 Message: Isn't the limit 1? Let any x small enough, 1/x = n + e, where n is an integer and e < 1. Then floor(1/x) = n and x*floor(1/x) is n/(n+e) = 1  e/(n+e). As n gets larger (and x gets smaller), this approaches 1. Did I make a mistake?  Comment By: Dieter Kaiser (crategus) Date: 20091109 17:59 Message: With Maxima 5.19post I get a noun form too. There have been serveal changes the last time to improve limit. Furthermore, I think the limit of the example is not defined. Therefore, it seems to be not wrong to return a noun form. Setting the status to pending and works for me. Dieter Kaiser  Comment By: Rudolf Vyborny (ynrobyvr) Date: 20091029 04:02 Message: I got the wrong result, namely 0. I attached my file  Comment By: Raymond Toy (rtoy) Date: 20091029 03:12 Message: I get the noun form back. Not wrong, but could be better. What were you expecting?  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2888450&group_id=4933 
From: SourceForge.net <noreply@so...>  20091111 02:11:27

Bugs item #2888450, was opened at 20091029 11:21 Message generated for change (Settings changed) made by ynrobyvr You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2888450&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: None Group: None >Status: Open >Resolution: Invalid Priority: 5 Private: No Submitted By: Rudolf Vyborny (ynrobyvr) Assigned to: Nobody/Anonymous (nobody) Summary: wrong result Initial Comment: wrong result in calculating limit of x*floor(1/x) as x goes to 0  >Comment By: Rudolf Vyborny (ynrobyvr) Date: 20091111 12:11 Message: Answer to rtoy. The limit is 1, your proof is essentially orrect. I prefer the following proof: 1/x1<floor(1/x)<=1/x, hence for x>0 we have 1x<xfloor(1/x)<=1. It follows that the limit from the right is 1. The proof for the limit from the left is similar. Answer to crategus: The function does have a limit, namely 0. Your staement 2. is correct but your conclusion 3. is erroneous.  Comment By: Dieter Kaiser (crategus) Date: 20091110 07:11 Message: Sorry, I have no mathematical proof. I have come to the conclusion because of the follwing: 1. The function floor(x) is discontinuous. 2. The function x*floor(1/x) has an infinite number of points of discontinuity in any infinitesimal intervall when aproching zero. 3. Therefore, the function does not approach a limit. I could be wrong. Dieter Kaiser  Comment By: Raymond Toy (rtoy) Date: 20091110 03:17 Message: Isn't the limit 1? Let any x small enough, 1/x = n + e, where n is an integer and e < 1. Then floor(1/x) = n and x*floor(1/x) is n/(n+e) = 1  e/(n+e). As n gets larger (and x gets smaller), this approaches 1. Did I make a mistake?  Comment By: Dieter Kaiser (crategus) Date: 20091110 02:59 Message: With Maxima 5.19post I get a noun form too. There have been serveal changes the last time to improve limit. Furthermore, I think the limit of the example is not defined. Therefore, it seems to be not wrong to return a noun form. Setting the status to pending and works for me. Dieter Kaiser  Comment By: Rudolf Vyborny (ynrobyvr) Date: 20091029 13:02 Message: I got the wrong result, namely 0. I attached my file  Comment By: Raymond Toy (rtoy) Date: 20091029 12:12 Message: I get the noun form back. Not wrong, but could be better. What were you expecting?  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2888450&group_id=4933 
From: SourceForge.net <noreply@so...>  20091211 02:01:36

Bugs item #2912391, was opened at 20091211 12:01 Message generated for change (Tracker Item Submitted) made by ynrobyvr You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2912391&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: Lisp Core  Limit Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: Rudolf Vyborny (ynrobyvr) Assigned to: Nobody/Anonymous (nobody) Summary: wrong result Initial Comment: Calculating the limit of x+sqrt(1+x^2) as x goes to  infinity gives the wrong result inf instead of correct answer 0  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2912391&group_id=4933 
From: SourceForge.net <noreply@so...>  20091211 09:05:14

Bugs item #2912391, was opened at 20091211 03:01 Message generated for change (Comment added) made by mhs You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2912391&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: Lisp Core  Limit Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: Rudolf Vyborny (ynrobyvr) Assigned to: Nobody/Anonymous (nobody) Summary: wrong result Initial Comment: Calculating the limit of x+sqrt(1+x^2) as x goes to  infinity gives the wrong result inf instead of correct answer 0  Comment By: Martin (mhs) Date: 20091211 10:05 Message: I cannot reproduce this on  Maxima version: 5.19.2 Maxima build date: 8:55 8/31/2009 host type: i686pcmingw32 lispimplementationtype: GNU Common Lisp (GCL) lispimplementationversion: GCL 2.6.8  (%i1) expr: x+sqrt(1+x^2); (%o1) sqrt(x^2+1)+x (%i2) limit(expr, x, inf); (%o2) 0 (%i3) limit(expr, x, minf); (%o3) 0  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2912391&group_id=4933 
From: SourceForge.net <noreply@so...>  20091213 17:50:12

Bugs item #2912391, was opened at 20091211 03:01 Message generated for change (Comment added) made by crategus You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2912391&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: Lisp Core  Limit Group: None >Status: Pending >Resolution: Works For Me Priority: 5 Private: No Submitted By: Rudolf Vyborny (ynrobyvr) Assigned to: Nobody/Anonymous (nobody) Summary: wrong result Initial Comment: Calculating the limit of x+sqrt(1+x^2) as x goes to  infinity gives the wrong result inf instead of correct answer 0  >Comment By: Dieter Kaiser (crategus) Date: 20091213 18:50 Message: I am not sure about the notation of infinities which is used in this bug report. Maxima knows inf, minf, and infinity. infinity represents the complex infinity, inf and minf the real infinities.Furthermore, we have minf = inf. With these notations I get: (%i11) limit(x+sqrt(1+x^2),x,inf); (%o11) inf (%i12) limit(x+sqrt(1+x^2),x,inf); (%o12) 0 (%i13) limit(x+sqrt(1+x^2),x,minf); (%o13) 0 (%i14) limit(x+sqrt(1+x^2),x,infinity); (%o14) infinity I think all results from above are correct. Setting this bug report to pending and the status to "works for me". Dieter Kaiser  Comment By: Martin (mhs) Date: 20091211 10:05 Message: I cannot reproduce this on  Maxima version: 5.19.2 Maxima build date: 8:55 8/31/2009 host type: i686pcmingw32 lispimplementationtype: GNU Common Lisp (GCL) lispimplementationversion: GCL 2.6.8  (%i1) expr: x+sqrt(1+x^2); (%o1) sqrt(x^2+1)+x (%i2) limit(expr, x, inf); (%o2) 0 (%i3) limit(expr, x, minf); (%o3) 0  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2912391&group_id=4933 
From: SourceForge.net <noreply@so...>  20091228 02:20:29

Bugs item #2912391, was opened at 20091211 02:01 Message generated for change (Comment added) made by sfrobot You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2912391&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: Lisp Core  Limit Group: None >Status: Closed Resolution: Works For Me Priority: 5 Private: No Submitted By: Rudolf Vyborny (ynrobyvr) Assigned to: Nobody/Anonymous (nobody) Summary: wrong result Initial Comment: Calculating the limit of x+sqrt(1+x^2) as x goes to  infinity gives the wrong result inf instead of correct answer 0  >Comment By: SourceForge Robot (sfrobot) Date: 20091228 02:20 Message: This Tracker item was closed automatically by the system. It was previously set to a Pending status, and the original submitter did not respond within 14 days (the time period specified by the administrator of this Tracker).  Comment By: Dieter Kaiser (crategus) Date: 20091213 17:50 Message: I am not sure about the notation of infinities which is used in this bug report. Maxima knows inf, minf, and infinity. infinity represents the complex infinity, inf and minf the real infinities.Furthermore, we have minf = inf. With these notations I get: (%i11) limit(x+sqrt(1+x^2),x,inf); (%o11) inf (%i12) limit(x+sqrt(1+x^2),x,inf); (%o12) 0 (%i13) limit(x+sqrt(1+x^2),x,minf); (%o13) 0 (%i14) limit(x+sqrt(1+x^2),x,infinity); (%o14) infinity I think all results from above are correct. Setting this bug report to pending and the status to "works for me". Dieter Kaiser  Comment By: Martin (mhs) Date: 20091211 09:05 Message: I cannot reproduce this on  Maxima version: 5.19.2 Maxima build date: 8:55 8/31/2009 host type: i686pcmingw32 lispimplementationtype: GNU Common Lisp (GCL) lispimplementationversion: GCL 2.6.8  (%i1) expr: x+sqrt(1+x^2); (%o1) sqrt(x^2+1)+x (%i2) limit(expr, x, inf); (%o2) 0 (%i3) limit(expr, x, minf); (%o3) 0  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2912391&group_id=4933 